<h2>Problem 168</h2>
<div style="color:#666;font-size:80%;">16 November 2007</div><br />
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<p>Consider the number 142857. We can right-rotate this number by moving the last digit (7) to the front of it, giving us 714285.<br />
It can be verified that 714285=5<img src='images/symbol_times.gif' width='9' height='9' alt='&times;' border='0' style='vertical-align:middle;' />142857.<br />
This demonstrates an unusual property of 142857: it is a divisor of its right-rotation.</p>
<p>Find the last 5 digits of the sum of all integers <var>n</var>, 10 <img src='images/symbol_lt.gif' width='10' height='10' alt='&lt;' border='0' style='vertical-align:middle;' /> <var>n</var> <img src='images/symbol_lt.gif' width='10' height='10' alt='&lt;' border='0' style='vertical-align:middle;' /> 10<img src="" style="display:none;" alt="^(" /><sup>100</sup><img src="" style="display:none;" alt=")" />, that have this property.</p>

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